106535435076 has 144 divisors (see below), whose sum is σ = 310520770560. Its totient is φ = 30167167680.

The previous prime is 106535435023. The next prime is 106535435159. The reversal of 106535435076 is 670534535601.

106535435076 is a `hidden beast` number, since 1 + 0 + 6 + 53 + 543 + 50 + 7 + 6 = 666.

It is a super-2 number, since 2×106535435076² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33637645 + ... + 33640811.

It is an arithmetic number, because the mean of its divisors is an integer number (2156394240).

Almost surely, 2^106535435076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106535435076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155260385280).

106535435076 is an abundant number, since it is smaller than the sum of its proper divisors (203985335484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106535435076 is a wasteful number, since it uses less digits than its factorization.

106535435076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4334 (or 4329 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 106535435076 in words is "one hundred six billion, five hundred thirty-five million, four hundred thirty-five thousand, seventy-six".